Roboguru

Pertanyaan

fraction numerator 10 factorial 3 factorial over denominator 8 factorial 4 factorial end fraction equals fraction numerator 10 cross times... cross times... cross times 3 factorial over denominator 8 factorial cross times... cross times 3 factorial end fraction equals fraction numerator... over denominator... end fraction equals fraction numerator 45 over denominator... end fraction

 

Pembahasan Soal:

Berdasarkan definisi faktorial dimana n factorial equals n left parenthesis n minus 1 right parenthesis left parenthesis n minus 2 right parenthesis... cross times 3 cross times 2 cross times 1 maka

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 10 factorial 3 factorial over denominator 8 factorial 4 factorial end fraction end cell equals cell fraction numerator 10 cross times 9 cross times 8 cross times 7 cross times 6 cross times 5 cross times up diagonal strike 4 cross times up diagonal strike 3 factorial end strike over denominator 8 factorial cross times up diagonal strike 4 cross times up diagonal strike 3 factorial end strike end fraction end cell row cell fraction numerator 10 factorial 3 factorial over denominator 8 factorial 4 factorial end fraction end cell equals cell fraction numerator begin display style stack up diagonal strike 10 with 5 on top end style cross times 9 cross times up diagonal strike 8 cross times up diagonal strike 7 cross times up diagonal strike 6 cross times up diagonal strike 5 over denominator up diagonal strike 8 cross times up diagonal strike 7 cross times up diagonal strike 6 cross times up diagonal strike 5 cross times 4 cross times 3 cross times up diagonal strike 2 cross times 1 end fraction end cell row cell fraction numerator 10 factorial 3 factorial over denominator 8 factorial 4 factorial end fraction end cell equals cell 45 over 12 end cell end table

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 03 Juni 2021

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